We consider a model of HIV-1 infection with triple drug therapy
(HAART) and three delays: the first delay represents the time
between the infection and the viral production, the second is
associated with the loss of target cells by infection, and the third
represents the time for the newly produced virions to become
infectious. We show that the incorporation of these delays improves
the critical efficacy of the treatment, and destabilizes the
infected steady state or leads to an infected steady state with more
healthy cells and less infected cells and viruses. Also, we
considered the periodic treatment case. We analyze the stability of
the viral free steady state and derive an effective strategy for
reducing the viral load.